Field theory in condensed matter 1

The aim of this course is the application of methods of statistical field theory to condensed-matter systems. This includes the description of these systems using field-theoretical methods, the discussion of their range of applicability, and the calculation of experimental observables. Possible condensed-matter systems to be discussed in the course include magnetism of antiferromagnets and magnetically frustrated systems, disordered systems, quantum Hall effect, topological insulators, superconductivity, one-dimensional electronic and magnetic systems, quantum dots and nanostructures, as well as ultracold atomic and ionic gases. The course also covers necessary advanced methods to treat these systems, for example path integrals for spin systems, renormalisation-group methods, non-equilibrium quantum field theory, quantum field theory for open systems, bosonisation, or non-linear sigma models.

This year, NS-TP460M will consist of the topics:

1. Bose-Einstein condensation, BCS theory, superconductivity and other phase transitions
2. Introduction to the Caldeira-Leggett model (I)

While NS-TP460M and NS-TP461M can be taken independently, students are encouraged to follow them both. Each topic will be graded with a hand-in exercise, and NS-TP461M will end with a student presentation about a topic relevant for the course (suggestions for topics will be provided). For students taking only NS-TP460M, and extra assignment will be provided.